Variational Principles in Classical Mechanics
Two dramatically different philosophical approaches to classical mechanics were proposed during the 17th – 18th centuries. Newton developed his vectorial formulation that uses time-dependent differential equations of motion to relate vector observables like force and rate of change of momentum. Eule...
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| Main Author: | |
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Monroe County, New York
University of Rochester River Campus Libraries
2019.
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| Edition: | Revised Second Edition |
| Series: | Open textbook library.
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| Subjects: | |
| Online Access: | Access online version |
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Table of Contents:
- 1 A brief history of classical mechanics
- 2 Review of Newtonian mechanics
- 3 Linear oscillators
- 4 Nonlinear systems and chaos
- 5 Calculus of variations
- 6 Lagrangian dynamics
- 7 Symmetries, Invariance and the Hamiltonian
- 8 Hamiltonian mechanics
- 9 Hamilton’s Action Principle
- 10 Nonconservative systems
- 11 Conservative two-body central forces
- 12 Non-inertial reference frames
- 13 Rigid-body rotation
- 14 Coupled linear oscillators
- 15 Advanced Hamiltonian mechanics
- 16 Analytical formulations for continuous systems
- 17 Relativistic mechanics
- 18 The transition to quantum physics
- 19 Epilogue